Algebra Examples

$5 {(4 x + 3)}^{2} (7 x - 2) - (4 x + 3) {(7 x - 2)}^{2}$

Step 1

Factor $(4 x + 3) (7 x - 2)$ out of $5 {(4 x + 3)}^{2} (7 x - 2) - (4 x + 3) {(7 x - 2)}^{2}$ .

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Step 1.1

Factor $(4 x + 3) (7 x - 2)$ out of $5 {(4 x + 3)}^{2} (7 x - 2)$ .

$(4 x + 3) (7 x - 2) (5 (4 x + 3)) - (4 x + 3) {(7 x - 2)}^{2}$

Step 1.2

Factor $(4 x + 3) (7 x - 2)$ out of $- (4 x + 3) {(7 x - 2)}^{2}$ .

$(4 x + 3) (7 x - 2) (5 (4 x + 3)) + (4 x + 3) (7 x - 2) (- 1 (7 x - 2))$

Step 1.3

Factor $(4 x + 3) (7 x - 2)$ out of $(4 x + 3) (7 x - 2) (5 (4 x + 3)) + (4 x + 3) (7 x - 2) (- 1 (7 x - 2))$ .

$(4 x + 3) (7 x - 2) (5 (4 x + 3) - 1 (7 x - 2))$

Step 2

Apply the distributive property.

$(4 x + 3) (7 x - 2) (5 (4 x) + 5 \cdot 3 - 1 (7 x - 2))$

Step 3

Multiply $4$ by $5$ .

$(4 x + 3) (7 x - 2) (20 x + 5 \cdot 3 - 1 (7 x - 2))$

Step 4

Multiply $5$ by $3$ .

$(4 x + 3) (7 x - 2) (20 x + 15 - 1 (7 x - 2))$

Step 5

Apply the distributive property.

$(4 x + 3) (7 x - 2) (20 x + 15 - 1 (7 x) - 1 \cdot - 2)$

Step 6

Multiply $7$ by $- 1$ .

$(4 x + 3) (7 x - 2) (20 x + 15 - 7 x - 1 \cdot - 2)$

Step 7

Multiply $- 1$ by $- 2$ .

$(4 x + 3) (7 x - 2) (20 x + 15 - 7 x + 2)$

Step 8

Subtract $7 x$ from $20 x$ .

$(4 x + 3) (7 x - 2) (13 x + 15 + 2)$

Step 9

Add $15$ and $2$ .

$(4 x + 3) (7 x - 2) (13 x + 17)$